###### Example 4.2.5

The matrix \(\left[\begin{array}{rr} 2 \amp 1 \\ 0 \amp 2 \\ \end{array}\right]\) has the characteristic equation \((2-\lambda)^2 = 0\text{.}\) Once again, there is a single eigenvalue \(\lambda = 2\) having multiplicity \(m = 2\text{.}\) In contrast with the previous example, we saw that \(\dim E_2 = 1 \leq m = 2\text{.}\)